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Finding the Third Proportional to 142,851 and 297,524

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Solution

The third proportional to 142,851 and 297,524 is: 619,670.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,851 : 297,524 = 297,524 : x
  2. Step 2: Convert to fraction form
    142,851/297,524 = 297,524/x
  3. Step 3: Cross multiply
    142,851x = 297,524 × 297,524
  4. Step 4: Simplify right side
    142,851x = 88,520,530,576
  5. Step 5: Solve for x
    x = 88,520,530,576/142,851
  6. Step 6: Final answer
    x = 619,670.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.